Home
Class 10
MATHS
The radii of the bases of two right c...

The radii of the bases of two right circular solid cones of same height are `r_1` and `r_2` respectively. The cones are melted and recast into a solid sphere of radius `R` . Show that the height of each cone is given by `h=(4R^3)/(r1 2+r2 2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|250 Videos

  • TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|366 Videos

Similar Questions

Explore conceptually related problems

The base radii of two right circular cones of the same height are in the ratio 3:5. Find the ratio of their volumes.

The base radii of two right circular cones of the same height are in the ratio 3:5. Find the ratio of their volumes.

The base radii of two right circular cones of the same height are in the ratio 3:5. Find the ratio of their volumes.

Threee metallic cones of radius 2cm and height 9cm are melted and recast in to a solid sphere. Fuind the radius of the sphere.

Threee metallic cones of radius 2cm and height 9 cm are melted and recast in to a solid sphere. Find the radius of the sphere.

A cone of height 4 cm is melted and recast into a sphere of diameter 8 cm .Find the radius of the base of the cone.

The radii of the internal and external surfaces of a metallic spherical shell are 3 cm and 5 cm respectively. It is melted and recast into a solid right circular cone of height 32 cm. Find the diameter of the base of the cone.

A certain number of metallic cones, each of radius 2 cm and height 3 cm, are melted and recast into a solid sphere of radius 6 cm. Find the number of cones used.

A metallic sphere of radius 7 cm is melted and recast in to right circular cone of same radius. Find the height of the cone.

The radius of base of a cone is r and height is h. Find its volume.

RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions
  1. Determine the ratio of the volume of a cube to that of a sphere which ...

    Text Solution

    |

  2. The radius of a solid iron sphere is 8 cm. Eight rings of iron plat...

    Text Solution

    |

  3. The radii of the bases of two right circular solid cones of same he...

    Text Solution

    |

  4. Selvis house has an overhead tank in the shape of a cylinder. This is...

    Text Solution

    |

  5. A hemispherical tank full of water is emptied by a pipe at the rate...

    Text Solution

    |

  6. How many balls, each of radius 1 cm, can be made from a solid spher...

    Text Solution

    |

  7. How many spherical bullets each of 5 cm in diameter can be cast fro...

    Text Solution

    |

  8. A spherical ball of radius 3 cm is melted and recast into three sph...

    Text Solution

    |

  9. 2.2 cubic dm of brass is to be drawn into a cylindrical wire 0.25 c...

    Text Solution

    |

  10. What length of a solid cylinder 2 cm in diameter must be taken to r...

    Text Solution

    |

  11. A cylindrical vessel having diameter equal to its height is full of...

    Text Solution

    |

  12. 50 circular plates each of diameter 14 cm and thickness 0.5 cm are ...

    Text Solution

    |

  13. 25 circular plates, each of radius 10.5 cm and thickness 1.6 cm, ar...

    Text Solution

    |

  14. A path 2 m wide surrounds a circular pond of diameter 40 m. How man...

    Text Solution

    |

  15. A 16 m deep well with diameter 3.5 m is dug up and the earth from i...

    Text Solution

    |

  16. A well of diameter 2 m is dug 14 m deep. The earth taken out of it ...

    Text Solution

    |

  17. Find the volume of the largest right circular cone that can be cut out...

    Text Solution

    |

  18. A cylindrical bucket, 32 cm high and 18 cm of radius of the base, i...

    Text Solution

    |

  19. Rain water, which falls on a flat rectangular surface of length 6 m...

    Text Solution

    |

  20. A conical flask is full of water. The flask has base-radius r and h...

    Text Solution

    |